Newton's Second Law-Pulley problem

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Homework Help Overview

The problem involves a 4.0-kg block on a rough surface connected by a string over a pulley to a 2.0-kg hanging object, with a known friction force acting on the block. Participants are exploring the dynamics of the system, particularly focusing on calculating acceleration and tension.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration and tension, with some attempting to derive these values using the net force equations. Questions arise regarding the interpretation of the problem and the accuracy of calculated values.

Discussion Status

Some participants have provided guidance on how to approach the calculations, while others are questioning the correctness of their results compared to an answer key. There is an ongoing exploration of the relationships between tension, acceleration, and friction.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may include specific answer expectations. There is uncertainty regarding the accuracy of the friction force and the values used in calculations.

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Homework Statement


A 4.0-kg oak block on a horizontal, rough oak surface is attached by a light string that passes over a light, frictionless pulley to a hanging 2.0-kg object. The magnitude of the force of friction on the 4.0-kg block is 11.8 N.
http://img353.imageshack.us/img353/3743/pulleyai7.jpg​

Homework Equations


[tex]F_{net}[/tex]=ma
[tex]F_{g}[/tex]=mg


The Attempt at a Solution


I used [tex]F_{net}[/tex]=[tex]F_{g}[/tex]+[tex]F_{F}[/tex] and substituted in the values, but I don't seem to get the correct answer.
 
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Either I am blind...or I don't see a QUESTION...
 
What are you looking for? Tension?
 
Assuming you're looking for tension...

http://www.geocities.com/chmode12/pulley.JPG
 
I was looking for acceleration.
 
Ok. Well, do you see how you can use my demonstration to solve for acceleration as well? Put T on one side of both italicized equations, set them equal to each other, then solve for acceleration.
 
I am in the same class as Precursor, and I am also stuck on this question. I was able to get the acceleration, but I am unable to get the tension in the string. I got 15.7N. Dvd, you also got 15.7N, but our answer key for this assignment says that the answer is 17N. So, are we wrong or is our answer key wrong?
 
temaire said:
I am in the same class as Precursor, and I am also stuck on this question. I was able to get the acceleration, but I am unable to get the tension in the string. I got 15.7N. Dvd, you also got 15.7N, but our answer key for this assignment says that the answer is 17N. So, are we wrong or is our answer key wrong?


What did you calculate for an acceleration?

Casey
 
I calculated [tex]1.3 m/s^{2}[/tex] for the acceleration.
 
  • #10
Perhaps your Force of Friction is incorrect? Double check and make sure all the numbers given is the same, and get back to me.
 
  • #11
Dvdqnoc - I apologize in advance in case I've missed something, but, on the right side of your calculations, you have

T - 11.8 = 2a

Should it be

T - 11.8 = 4a

since that block has a mass of 4g?
 
  • #12
Thank you - this was kind of helpful :)
 

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